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What is the Least Common Multiple of 98307 and 98326?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 98307 and 98326 is 9666134082.

LCM(98307,98326) = 9666134082

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Least Common Multiple of 98307 and 98326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98307 and 98326, than apply into the LCM equation.

GCF(98307,98326) = 1
LCM(98307,98326) = ( 98307 × 98326) / 1
LCM(98307,98326) = 9666134082 / 1
LCM(98307,98326) = 9666134082

Least Common Multiple (LCM) of 98307 and 98326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98307 and 98326. First we will calculate the prime factors of 98307 and 98326.

Prime Factorization of 98307

Prime factors of 98307 are 3, 11, 331. Prime factorization of 98307 in exponential form is:

98307 = 33 × 111 × 3311

Prime Factorization of 98326

Prime factors of 98326 are 2, 211, 233. Prime factorization of 98326 in exponential form is:

98326 = 21 × 2111 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 98307 and 98326.

LCM(98307,98326) = 33 × 111 × 3311 × 21 × 2111 × 2331
LCM(98307,98326) = 9666134082